TY - JOUR T1 - Geometrical algorithms for automated design of side actions in injection moulding of complex parts JF - Computer-Aided Design Y1 - 2007 A1 - Banerjee,Ashis Gopal A1 - Gupta, Satyandra K. KW - Configuration spaces KW - Geometrical reasoning KW - Mould design AB - This paper describes algorithms for generating shapes of side actions to minimize a customizable injection moulding cost function. Given a set of undercut facets on a polyhedral part and the main mold opening directions, our approach works in the following manner: first, we compute candidate retraction space for every undercut facet. This space represents the set of candidate translation vectors that can be used by the side action to completely disengage from the undercut facet. As the next step, we generate a discrete set of feasible, nondominated retractions. Then we group the undercut facets into undercut regions by performing state space search over such retractions. This search step is performed by minimizing the given moulding cost function. After identifying the undercut regions, we generate the shapes of individual side actions. We believe that the results presented in this paper will provide the foundations for developing fully automated software for designing side actions. VL - 39 SN - 0010-4485 UR - http://www.sciencedirect.com/science/article/pii/S0010448507001339 CP - 10 M3 - 10.1016/j.cad.2007.05.014 ER -